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Finding the Fourth Proportional to 2,984.76, 4,478.43 and 1,136.43

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Solution

The fourth proportional to 2,984.76, 4,478.43 and 1,136.43 is: 1,705.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.76 : 4,478.43 = 1,136.43 : x
  2. Step 2: Convert to fraction form
    2,984.76/4,478.43 = 1,136.43/x
  3. Step 3: Cross multiply
    2,984.76x = 4,478.43 × 1,136.43
  4. Step 4: Simplify right side
    2,984.76x = 5,089,422.20
  5. Step 5: Solve for x
    x = 5,089,422.20/2,984.76
  6. Step 6: Final answer
    x = 1,705.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.